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Finding the Fourth Proportional to 360,891,670,231.49, 541,337,505,347.23 and 360,891,670,231.49

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Solution

The fourth proportional to 360,891,670,231.49, 541,337,505,347.23 and 360,891,670,231.49 is: 541,337,505,347.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,891,670,231.49 : 541,337,505,347.23 = 360,891,670,231.49 : x
  2. Step 2: Convert to fraction form
    360,891,670,231.49/541,337,505,347.23 = 360,891,670,231.49/x
  3. Step 3: Cross multiply
    360,891,670,231.49x = 541,337,505,347.23 × 360,891,670,231.49
  4. Step 4: Simplify right side
    360,891,670,231.49x = 195,364,196,463,709,968,662,528
  5. Step 5: Solve for x
    x = 195,364,196,463,709,968,662,528/360,891,670,231.49
  6. Step 6: Final answer
    x = 541,337,505,347.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.